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Finding the Fourth Proportional to 2,570.91, 3,856.06 and 722.17

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Solution

The fourth proportional to 2,570.91, 3,856.06 and 722.17 is: 1,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.91 : 3,856.06 = 722.17 : x
  2. Step 2: Convert to fraction form
    2,570.91/3,856.06 = 722.17/x
  3. Step 3: Cross multiply
    2,570.91x = 3,856.06 × 722.17
  4. Step 4: Simplify right side
    2,570.91x = 2,784,730.85
  5. Step 5: Solve for x
    x = 2,784,730.85/2,570.91
  6. Step 6: Final answer
    x = 1,083.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.